Lian's dog eats 1/20 of a bag of dog food each week. Lian currently has 5/8 of a bag remaining. How many weeks will it take Lian's dog to finish this remaining food?

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Identify Consumption and Remaining Amount: Identify the amount of dog food consumed each week and the remaining amount of dog food. Lian's dog eats 1/20 of a bag each week, and there is 5/8 of a bag remaining.Calculate Weeks to Finish Food: Calculate the number of weeks it will take for the dog to finish the remaining dog food. To find the number of weeks, divide the remaining amount of dog food by the amount consumed each week. Number of weeks = (Remaining amount of dog food) / (Amount consumed each week) Number of weeks = (5/8) / (1/20)Perform Division Calculation: Perform the division by multiplying the remaining amount of dog food by the reciprocal of the amount consumed each week. Number of weeks = (5/8) * (20/1) Number of weeks = 5 * 20 / 8Simplify Multiplication: Simplify the multiplication to find the number of weeks. Number of weeks = 100 / 8 Number of weeks = 12.5Interpret Result: Interpret the result. Since Lian's dog eats a whole fraction of the bag each week, it is not possible to have a half week. Therefore, we round up to the nearest whole number because the dog will finish the remaining food in the 13th week. Number of weeks = 13

Lian's dog eats $\frac{1}{20}$ of a bag of dog food each week. Lian currently has $\frac{5}{8}$ of a bag remaining. How many weeks will it take Lian's dog to finish this remaining food?

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Lian's dog eats $\frac{1}{20}$ of a bag of dog food each week. Lian currently has $\frac{5}{8}$ of a bag remaining. How many weeks will it take Lian's dog to finish this remaining food?